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the engine in the rocket is supposed to provide a constant thrust of 5000 KN. the turbopump unit in the engine nominally operates at 7000 rpm, and a result of design issue, the actual thrust provided by the engine oscillates harmonically with an amplitude of 10 KN at the same rotational frequency as the turbopump unit. the mass of the engine is m= 5000 kg. the rest of the rocket is much heavier than the engine and can be treated as being fixed. the engine is mounted to the rocket via two structural members, each of which can be modeled as consisting of a linear spring of stiffness k in a parallel with a dashpot with linear viscous damping coefficient c. determine the smallest values of c and k such that the static deflection due to the constant component of the thrust is less than 0.01 m and so that the vibration amplitude in the nominal operating regime is less than 0.001 m. ignore the stiffness and damping due to the piping. HINT: if x is measured from the equilibrium position of the engine that results from the combined effect of the thrust and gravity, then the engine is subject to an extremely applied forcing equal (10sinw0t) kn, where w0 is the rotational frequency of the turbo pump
A very small country has just gained independence in the year 2000, at which time its population was 1,000. The new country has a birth rate of 0.02 yr-1, death rate of 0.004 yr-1, immigration rate of 0.01 yr-1, and emigration rate of 0.005 yr-1.
Find the expanded depth of the bed after the backwash when initial depth of the bed is 3 ft using given conditions. μ = 0.01g/cm/sec, T = 25oC, ρs = 2.65, ρ=1, washrate = 1.5 cm/sec, ks2 = 196. (Assumed single size)
The solid silver chloride is placed in water. It reaches equilibrium and has a solubility product constant of 1.8 x 10-10. What is the concentration of silver if the chloride concentration is raised to 3M
A crest vertical vurve and a horizontal curve on the same highway have the same design speed. The equal-tangent vertical curve connects a +3% initial grade with a +1% final grade and has a PVC at 101+78 and a PVT at 106+72
A rod of steel is 20 m long at a temperature of 200C. find the free expansion of the rod when the temperature is raised to 650C. Find the temperature stress produced
An embankment for a highway 30m wide & 1.5m in a compacted thickness is to be constructed from a sandy trucked from a borrow pit. the water contenet of the sandy soil in the borrow pit is 15%& its void ratio is 0.69.
Identical bricks 0.1m wide, and weighting 2kg are placed on a plate (assume the plate has neligible weight). Calculate the total weight (and force F required to balance the plate). How far from x=0 should F be placed so that the plate will not tip..
Force F with magnitude indicated acts at point o. determine the magnitudes of the components Faa and Fbb along directions a-a and b-b so that F=Faa+Fbb
How do you calculate the force of water hitting a concrete cylindrical pole. The velocity of the water is 2 ft/s, the depth of the water is 10 ft, and diameter of the pole is 3 ft. So what would be the total force exerted on the pole by the water?
determine the preassure in psi at a depth of 20 ft below the free surface of a body of water and find the absolute pressure when the barometer reads 29.9 inches of mercury.
Calculate the (maximum) design load on a hollow AISI 1020 steel shaft with an outside diameter of 2.5 inches and an inside diameter of 2 inches. Assume a safety factor of 2.
A large residence consumes 3705 kWh of electrical energy over a billing period. Determine the total charge for the billing period based on the rate schedule provided. The margin of error is $0.5
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